# Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms

@article{Yong1999SingularPO, title={Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms}, author={W. A. Yong}, journal={Journal of Differential Equations}, year={1999}, volume={155}, pages={89-132} }

Abstract This work develops a singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems with stiff source terms in several space variables. It is observed that under reasonable assumptions, many equations of classical physics of that type admit a structural stability condition . This condition is equivalent to the well-known subcharacteristic condition for one-dimensional 2×2-systems and the well-known time-like condition for one-dimensional scalar…

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